In this manuscript, we establish the existence of results of fractional impulsive differential equations involving $\psi$-Hilfer fractional derivative and almost sectorial operators using Schauder fixed-point theorem. We discuss two cases, if the associated semigroup is compact and noncompact, respectively. We consider here the higher-dimensional system of integral equations. We present herewith new theoretical results, structural investigations, and new models and approaches. Some special cases of the results are discussed as well. Due to the nature of measurement of noncompactness theory, there exists a strong relationship between the sectorial operator and symmetry. When working on either of the concepts, it can be applied to the other one as well. Finally, a case study is presented to demonstrate the major theory.

This research paper is devoted to investigating the existence results for impulsive fractional integrodifferential equations in the form of Atangana - Baleanu - Caputo (ABC) fractional derivative, by using Gronwall–Bellman inequality and Krasnoselskii’s fixed point theorem to study the existence and uniqueness of the problem with integral boundary conditions. At the end, the examples are illustrated to verify results.

In this paper, we examine the existence and uniqueness of integral boundary value problem for implicit fractional differential equations (IFDE's) involving Hadamard and Caputo-Hadamard fractional derivative. We prove the existence and uniqueness results by utilizing Banach and Schauder's fixed point theorem. Finally, examples are introduced of our results.

Artificial intelligence (AI) is revolutionizing various areas of health care, particularly the medical and nursing field, called "Adoption of Artificial Intelligence in Health Care: A Nursing Perspective." This article examines the state of artificial intelligence (AI) in healthcare research, its use, its advantages for healthcare, and any challenges that can arise when adopting AI to healthcare organizations. The benefits of AI, such as increased efficiency, cost savings, future direction, improved decision-making, and enhanced patient care experiences. It is the need of the hour to address the challenges to ensure the successful adoption of AI in healthcare operations and treatment modalities including Nursing. The possible difficulties with applying AI, include issues with data protection, the requirement for additional knowledge and training, and moral issues. The Impact of Artificial Intelligence on Healthcare offers organizations looking to use this technology to achieve their cost-effective strategic objectives for improved patient care useful insights into how AI is transforming the medical and nursing fields and interventions

We propose a solution to the symmetric nonlinear $\mathrm{\Psi }$-Caputo fractional integro differential equations involving non-instantaneous impulsive boundary conditions. We investigate the existence and uniqueness of the solution for the proposed problem. Banach contraction theorem is employed to prove the uniqueness results, while Krasnoselkii’s fixed point technique is used to prove the existence results. Additionally, an example is used to explain the results. In this manner, our results represent generalized versions of some recent interesting contributions.